# What is the discriminant of #-x^2+10x-56=-4x-7#?

##### 1 Answer

For this quadratic,

#### Explanation:

In order to determine the *determinant* of this quadratic equation, you must first get it to *quadratic form*, which is

For this general form, the determinant is equal to

So, to get your equation to mthis form, add

Now identify what the values for

This means that the discriminant will be equal to

This means that your equation has **only one real root**

In your case, this solution is